Scholarlink

<p>The purpose of this paper is to prove the fixed point results for rational contractions of the Geraghty and Dass-Gupta type in a super metric spaces. Unlike the other authors, we have only used the first two characteristics of Wardowski’s auxiliary functions <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13660_2025_3364_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mi mathvariant="script">F</mi> </math></EquationSource> <EquationSource Format="TEX">$\mathscr{F}$</EquationSource> </InlineEquation>. Moreover, Geraghty-type contraction has been reconsidered to demonstrate its significance in a super metric spaces. In order to prove that the results are genuine, we give a few examples. Furthermore, the developed results are then utilized to demonstrate the behavior of exothermic chemical reactors and electrical circuit models and demonstrate the stability of the integral inclusions and Boundary value problems. We find this study intriguing because many problems can be solved using the super metric space, even when the usual metric doesn’t work.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Rational contractions of the Geraghty and Dass-Gupta type in super metric spaces with applications

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月30日

查看全文
  • Kamal Shah,
  • Syed Khayyam Shah,
  • Muhammad Sarwar,
  • Manel Hleili,
  • Thabet Abdeljawad

摘要

The purpose of this paper is to prove the fixed point results for rational contractions of the Geraghty and Dass-Gupta type in a super metric spaces. Unlike the other authors, we have only used the first two characteristics of Wardowski’s auxiliary functions F $\mathscr{F}$ . Moreover, Geraghty-type contraction has been reconsidered to demonstrate its significance in a super metric spaces. In order to prove that the results are genuine, we give a few examples. Furthermore, the developed results are then utilized to demonstrate the behavior of exothermic chemical reactors and electrical circuit models and demonstrate the stability of the integral inclusions and Boundary value problems. We find this study intriguing because many problems can be solved using the super metric space, even when the usual metric doesn’t work.